A community for students.
Here's the question you clicked on:
 0 viewing
mathslover
 3 years ago
Prove that if the 3 altitudes of a triangle are equal then the triangle is equilateral.
See attachment
mathslover
 3 years ago
Prove that if the 3 altitudes of a triangle are equal then the triangle is equilateral. See attachment

This Question is Closed

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.1I tried to do this and have got so far that AB = AC

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.1I took following triangles :ABF and AEC by AAS I got both of these triangles congruent and therefore by CPCT AB = AC

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.1(CPCT = Congruent Parts of Congruent Triangles are equal)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0That idea should work to get that AB=BC as well.

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.1So far , we have got ABC as isosceles. Now, I took triangle ABC and AFC both of these triangles are congruent by RHS BF = FC ( by CPCT ) therefore F is mid point of BC an AF is median and altitude also Therefore , this is the property of an equilateral triangle , so ABC is an equi. triangle

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.1You mean to take ABE and BEC triangles @joemath314159 ?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yep. and do exactly what you did with the other triangles again.

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.1I meant this : ADC and ABD in the above comment.

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.1I think I had tried that earlier but I didnt' get any favorable result , wait let me do it again

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0there are many combinations you could take. The pair I see is triangles BEC and BDA.

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.1Oh yes that will work ... BEC and BDA .. this gives some output to me.

mathslover
 3 years ago
Best ResponseYou've already chosen the best response.1Thanks a lot @joemath314159 for your help .. Might gonna work in more concentration for me..
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.